SOLUTION: The volume of an outdoor pool in the shape of a rectangular prism is given by the polynomial (2a^3 + 8a^2 - 34a - 120) cubic meters. The pool is half full . The dimensions of the l

Question 674884: The volume of an outdoor pool in the shape of a rectangular prism is given by the polynomial (2a^3 + 8a^2 - 34a - 120) cubic meters. The pool is half full . The dimensions of the length and width of the base are (a +5)meters and (a-4)meters. What is the height of the water in the pool in meters
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The volume of an outdoor pool in the shape of a rectangular prism is given by
the polynomial (2a^3 + 8a^2 - 34a - 120) cubic meters. The pool is half full. The dimensions of the length and width of the base are (a +5)meters and (a-4)meters.
What is the height of the water in the pool in meters
:
Use synthetic division
:
. . .__________________
-5 |2 + 8 - 34 - 120
:
I came up with 2a^2 - 2a - 24
Factor this to:(a-4)(2a+6)
:
we know the width = (a-4), therefore the height of the pool = (2a+6)
:
but they want the height of the water, half the height of the pool:
h =
h = (a+3) is the height of the water
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